Question

Two reservoir at different levels are connected by two parallel pipes of diameter 2d and d the ratio of flow in two pipe is

Answer 1

Answer:

The ratio of flow in the two pipe is 4 : 1.

Explanation:

Let us consider the flow rate of a fluid across a pipe be “Q” m³/s or L/s, velocity with which the liquid is flowing be “v” m/s and area of the pipe be “A” m².

Therefore,  

Fluid Flow Rate = (Area of pipe) * (Velocity of the liquid)

Or, Q = A * v  

Or, Q = ¼ * π * (pipe diameter)² * v ………… (i) [since A = πr²]

Given is the diameter of the first pipe as “2d” and diameter of the second pipe as “d”. Assuming the flow rate velocity of the liquid across both the pipes be same and the flow rate in the two pipes be “Q1” and “Q2” respectively.

Now, lets equate the given information into the above formula (i) to get the ratio of the flow in the two pipes.

Q1/Q2 = {¼ * π * (2d)² * v} / {¼ * π * (d)² * v}

Or, Q1/Q2 = (2d)² / (d)²

Or, Q1/Q2 = 4d² / d²

Or, Q1/Q2 = 4 / 1

Answer 2

Answer:4:1

Explanation:

(4d²/d²)=(Q1/Q2)